Mathematical Aspects of Pattern Formation in Biological Systems

作者: Matthias Winter , Juncheng Wei

DOI:

关键词: Statistical physicsStability (probability)Eigenvalues and eigenvectorsPattern formationDimension (vector space)BiologyArithmetic

摘要: Introduction.- Existence of spikes for the Gierer-Meinhardt system in one dimension.- The Nonlocal Eigenvalue Problem (NLEP).- Stability shadow system.- and stability two dimensions.- with inhomogeneous coefficients.- Other aspects saturation.- Spikes other two-component reaction-diffusion systems.- Reaction-diffusion systems many components.- Biological applications.- Appendix.

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